Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x² + y² – 2x – 2y , subject to the constraint x2 + y² = 4.

Q: 32

A: We need to use the knowledge of binomial theorem to solve this problem.

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A: Let's find.

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A: Given; (s-20) /(s2-9).

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Q: so Je cos T0 d0

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Q: 2. S

A: Given :∫xdxx2-4x-7

Q: 3. J

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Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n² – 7n+ 1 n=1 convergent or divergent. b)…

A: !) The given series is: ∑n=1∞11n2+8n+32n3+3n2-7n+1 Let, an=11n2+8n+32n3+3n2-7n+1; n≥1& bn=1n;…

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Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

A: We have to find value of  e-(in+1)π

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Q: complete

A: Please refer to the image below

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Q: 20) dx 1 19 A) 6. B)= D) 9/2

A: I=∫12 t8-t4t6 dt=∫12 t2-t-2 dtformula: ∫ xn dx=xn+1n+1+C  =t33-t-1-112  =t33+1t12    =83-13+12-1…

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A: A detailed solution is given below.

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